Nonclassicality in Two-Mode Stabilized Squeezed Coherent State: Quantum-to-Classical transition
Abstract: We consider a two-mode stabilized squeezed coherent state (SSCS) of light and introduce the $\Pi_{\rm N}$ indicator, a novel measure for characterizing nonclassicality in the resulting EPR-entangled state. Unlike existing methods based on Cauchy-Schwarz or Murihead inequalities, $\Pi_{\rm N}$ leverages analytical solutions to the quantum Langevin equations to directly analyze nonclassicality arising from key processes like bichromatic injection, frequency conversion, and parametric down-conversion (both spontaneous and stimulated). This approach not only identifies the optimal phase for maximum nonclassicality but also reveals two new phenomena: first, both intra-cavity and extra-cavity fields exhibit the same degree of nonclassicality, and second, balanced seeding in phase-mismatched configurations induces nonclassicality across a broad range of squeezing and seeding parameters. Our work deepens the understanding of the intricate dependence of nonclassicality on system parameters in the context of SSCS, paving the way for investigations into the quantum-to-classical transition in entangled systems. The potential of $\Pi_{\rm N}$ holds significant promise for advancements in quantum optics and information science.
- S. L. Braunstein and P. van Loock, Quantum information with continuous variables, Rev. Mod. Phys. 77, 513 (2005).
- A. Zavatta, S. Viciani, and Marco Bellini, Quantum-to-classical transition with single-photon-added coherent states of light, Science 306, 660 (2004).
- The basic formalism and interpretation of decoherence, in Decoherence and the Quantum-to-Classical Transition (Springer Berlin Heidelberg, Berlin, Heidelberg, 2007) pp. 13–114.
- Á. Rivas and A. Luis, Precision quantum metrology and nonclassicality in linear and nonlinear detection schemes, Phys. Rev. Lett. 105, 010403 (2010).
- J. K. Asbóth, J. Calsamiglia, and H. Ritsch, Computable measure of nonclassicality for light, Phys. Rev. Lett. 94, 173602 (2005).
- M. Hillery, Nonclassical distance in quantum optics, Phys. Rev. A 35, 725 (1987).
- P. Marian, T. A. Marian, and H. Scutaru, Quantifying nonclassicality of one-mode gaussian states of the radiation field, Phys. Rev. Lett. 88, 153601 (2002).
- C. T. Lee, Measure of the nonclassicality of nonclassical states, Phys. Rev. A 44, R2775 (1991).
- C. Gehrke, J. Sperling, and W. Vogel, Quantification of nonclassicality, Phys. Rev. A 86, 052118 (2012).
- W. Vogel and J. Sperling, Unified quantification of nonclassicality and entanglement, Phys. Rev. A 89, 052302 (2014).
- J. Sperling and W. Vogel, Representation of entanglement by negative quasiprobabilities, Phys. Rev. A 79, 042337 (2009).
- K. C. Tan, S. Choi, and H. Jeong, Negativity of quasiprobability distributions as a measure of nonclassicality, Phys. Rev. Lett. 124, 110404 (2020).
- M. D. Reid and D. F. Walls, Violations of classical inequalities in quantum optics, Phys. Rev. A 34, 1260 (1986).
- G. S. Agarwal, Nonclassical statistics of fields in pair coherent states, J. Opt. Soc. Am. B 5, 1940 (1988).
- C. T. Lee, General criteria for nonclassical photon statistics in multimode radiations, Opt. Lett. 15, 1386 (1990a).
- A. M. Marino, V. Boyer, and P. D. Lett, Violation of the cauchy-schwarz inequality in the macroscopic regime, Phys. Rev. Lett. 100, 233601 (2008).
- I. V. Volovich, Cauchy–Schwarz inequality-based criteria for the non-classicality of sub-Poisson and antibunched light, Phys. Lett. A 380, 56 (2016).
- R. J. Glauber, Coherent and incoherent states of the radiation field, Phys. Rev. 131, 2766 (1963).
- U. M. Titulaer and R. J. Glauber, Correlation functions for coherent fields, Phys. Rev. 140, B676 (1965).
- E. C. G. Sudarshan, Equivalence of semiclassical and quantum mechanical descriptions of statistical light beams, Phys. Rev. Lett. 10, 277 (1963).
- S. Puri, S. Boutin, and A. Blais, Engineering the quantum states of light in a Kerr-nonlinear resonator by two-photon driving, npj Quantum Inform. 3, 18 (2017).
- J. Ruiz-Rivas, G. J. de Valcárcel, and C. Navarrete-Benlloch, Active locking and entanglement in type II optical parametric oscillators, New J. Phys. 20, 023004 (2018).
- F. Hong-yi and J. R. Klauder, Eigenvectors of two particles’ relative position and total momentum, Phys. Rev. A 49, 704 (1994).
- R. J. Birrittella, P. M. Alsing, and C. C. Gerry, Phase effects in coherently stimulated down-conversion with a quantized pump field, Phys. Rev. A 101, 013813 (2020).
- C. Lee and T. H. Yoon, Stabilized two-mode squeezed coherent state of light, Optica Open 10.1364/opticaopen.24963987.v1 (2024).
- C. T. Lee, Nonclassical photon statistics of two-mode squeezed states, Phys. Rev. A 42, 1608 (1990b).
- M. J. Collett and C. W. Gardiner, Squeezing of intracavity and traveling-wave light fields produced in parametric amplification, Phys. Rev. A 30, 1386 (1984).
- W. Qin, A. Miranowicz, and F. Nori, Beating the 3 dB limit for intracavity squeezing and its application to nondemolition qubit readout, Phys. Rev. Lett. 129, 123602 (2022).
- T. H. Yoon and Minhaeng Cho, Quantitative complementarity of wave-particle duality, Sci. Adv. 7, eabi9268 (2021).
- C. Navarrete-Benlloch, Introduction to quantum optics (2022), arxiv:2203.13206 [quant-ph] .
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